Answer:
[tex]\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)[/tex]
Step-by-step explanation:
Equation of the Parabola
The general form of the equation of the parabola is:
[tex]f(x)=ax^2+bx+c[/tex]
We can try to find the values of a,b, and c by using the three given points (1,0),(-3,0),(-9,28).
However, we'll use an easier method. There is another form of the parabola in case we know its roots, also called zeros or x-intercepts. If p and q are the roots of f, then f can be expressed as:
[tex]f(x)=a(x-p)(x-q)[/tex]
We already know the values of p=1 and q=-3, thus replacing them into the equation, we have:
[tex]f(x)=a(x-1)(x+3)[/tex]
We only need to find the value of a. We do that by using the point (-9,28):
[tex]28=a(-9-1)(-9+3)[/tex]
Operating:
[tex]28=a(-10)(-6)=60a[/tex]
Solving for a:
[tex]\displaystyle a=\frac{28}{60}=\frac{7}{15}[/tex]
Thus, the equation of the parabola is:
[tex]\boxed{\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)}[/tex]
Mr. Jones' salary is $4,800 per month. After his raise, he earned $6,000 per month. By what percent did his salary increase?
Answer:
25%
Step-by-step explanation:
The difference between his salary before and after the raise is 1200. 1200 is 25% of his salary before the raise, so it is a raise of 25%.
What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete calculation. 14 is in the divisor, 7632 is in the dividend, and 5 hundred and 4 tens is written in the quotient. 7000 is subtracted from 7632 to give 632. An unknown value represented by a box is being subtracted from 632.
Answer:560
Step-by-step explanation:
Given the following :
Divisor = 14
Dividend = 7632
Quotient = 5 hundred and 4 tens = (540)
Kindly find detailed explanation in the attached picture below
Answer:
560
Step-by-step explanation:
Between which two consecutive whole numbers is v32
Write the interval as an inequality. Then graph the solutions.
(-5,6)
Write the interval as an inequality
answers to these? i’m sorry it’s a lot but 65 points and brainliest to the first person who answers but they have to be right i’d be so grateful!! :))
Answer:
1. 2(x-4)=8 . distribute
2x-8=8 at 8 both sides
2x=16 divide by 2
x=8
2. 3(x-5)=6 distribute
3x-15=6 add 15
3x=21 divide by 3
x=7
3. 4(x-6)=12 distribute
4x-24=12 add 24
4x=46 divide by 4
x=11.5
4. 5(x-2)=10 distribute
5x-10=10 add 10
5x=20 divide by 5
x=4
5. 6(x-1)=18 distribute
6x-6=18 add 6
6x=24 divide by 6
x=4
Identify any solutions to the system shown here.
Answer:
he answer would be B and D. This can be found by putting the x and y values into the inequality to find whether or not they are true.
Step-by-step explanation:
What is a requirement of supplementary angles? Supplementary angles must be adjacent. Supplementary angles must be nonadjacent. The measures of supplementary angles must add up to 90°. The measures of supplementary angles must add up to 180°.
Answer:
the measure of supplementary angles must add up to 180
Step-by-step explanation:
complementary angles add up to 90°
angles on a straight line are supplementary angles which add up to 180°
The measure of supplementary angles must add up to 180. The correct option is D.
What is a complementary angle?An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located.
The complementary angles are defined as the angles having the summation of 180 degrees. The angles made by the straight lines are termed complementary angles.
The supplementary angles are the angles between the two lines that will be 90 degrees.
Therefore, the measure of supplementary angles must add up to 180. The correct option is D.
To know more about complementary angles follow
https://brainly.com/question/20728641
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2 tables for 12 chairs
Answer: i dont understand the question
Step-by-step explanation:
Answer:
6 chair If you are dividing
Step-by-step explanation:
Help!!!Find the area of a circle whose circumference is same as the perimeter of square of side 22cm
Pls help me answer this question if correct I'll make brainylist!!!!
Answer:
y = 4.25x
Step-by-step explanation:
Y (total cost) = 4.25(cost of cheese) times x(number of cheeses)
Katie sends a letter to 6 friends. Those 6 friends each send the letter to 6 more friends, who all send the letter to George. How many letters does George get? IM STUCK too may ppl for me but please help
Answer:
216 letters
Step-by-step explanation:
6 times 6 is 36 times 6 is 216 and they all gave it to hime so george got 216 letters
The number of letters George received is 216.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, Katie sends a letter to 6 friends. Those 6 friends each send the letter to 6 more friend.
Total number of letters = 6×6×6
= 216
Therefore, the number of letters George received is 216.
Learn more about the total here:
https://brainly.com/question/15842940.
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Round 86,623 to the nearset thousands
Answer:
86,623 rounds to 87,000
Step-by-step explanation:
ten thousand thousand, hundred ten one
8 6 , 6 2 3
When rounding to the thousands, we look at the hundreds.
Since it is 5 or greater, we round the thousands up one
6 becomes 7
86,623 rounds to 87,000
Which of the following statements is not true about reflections?
Answer:
That a reflection does not preserve size, shape, or angles
Step-by-step explanation:
A reflection is a isometric transformation. So it does preserve size, shape, and angles. So if the answer says "It does not preserve size,shape, or angles" then that answer is not true
20 POINTS
PLZ HELP ASAP
Answer:
C
Step-by-step explanation:
y2+4x2-3y2-2x
plz help
In a video game, a flying coconut moves at a constant velocity of 20 meters/second in the positive direction. The coconut hits an obstacle and moves in the opposite direction with a constant velocity of 10 meters/second. What’s the change in velocity of the coconut?
A.
-30 m/s
B.
-10 m/s
C.
10 m/s
D.
30 m/s
Answer:
23
Step-by-step explanation:
f(x) = 10x - 15. What value of x makes f(x) = 75?
Answer:
x = 9
Step-by-step explanation:
f(x) = 10x - 15
f(x) = 75
Plug in 75 for f(x)
75 = 10x - 15
add 15 from either side
90 = 10x
divide either side by 10
9 = x
Answer:
x=9
Step-by-step explanation:
Set the function equal to 75 and solve for x.
75=10x-15
add 15 to each side
90=10x
divide each side by 10 to isolate x
9=x or x=9
Which graph represents 2x-5y<15?
David and Jillian are playing a board game together. Jillian wants to trade her wool cards for David's ore cards. The double number line shows that David will trade 333 ore cards to Jillian for 666 wool cards. Based on the ratio shown in the double number line, how many wool cards does Jillian need to trade for 444 ore cards?
Answer: 222 wool cards
Step-by-step explanation:
Answer:
Step-by-step explanation:
8 wool cards
Please help brainiest is award!
Answer:
Im pretty sure its D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
1.The ratio of boys to girls in a homeroom at berkmar middle is 3:4 if there are 12 boys how many girls are there in the homeroom ? 2.The total number of students enrolled at berkmar middle is 1,400 students if the ratio of boys to girls is also 3 to 4 for the school how many students are boys are boys and how many students are girls at berkmar school a800boys,650girls b.467boys,350girls c.600boys ,800girls d.467boys,933girls
Answer:
None of the options are correct, the correct answer is 1,050 boys and 350 girls.
Step-by-step explanation:
A ratio of 3:4 can be turned into a percentage by dividing 3 by 4. This would give us 0.75 or 75%. This means that the remaining 25% (100-75 = 25) are girls in this ratio. If there are 12 boys we can find the total amount by dividing 12 by 0.75 and then multiplying that answer by 0.25 (25%) in order to find the amount of girls in that ratio, like so...
12 * 0.75 = 16 total
16 * 0.25 = 4 girls
If there are a total of 1,400 students we can find how many are boys and how many are girls by simply multiplying by the percentages.
1,400 * 0.75 = 1,050 boys
1,400 * 0.25 = 350 girls.
Apparently, none of the options are correct, the correct answer is 1,050 boys and 350 girls.
Answer:
iuvvvvvvvvvvvvvv
Step-by-step explanation:
uyfvfv
How do I write 5/3x+y=8 in standard form
Answer:
5x+3y+24
Step-by-step explanation:
Which triangles
are similar to AABC?
115 35
B В
Answer:
i dont get it
Step-by-step explanation:
Can an intersection be just one point?
Answer:
It really depends on the figure. But most times and in most cases, yes.
Gail read of a book on Monday and of the book on Tuesday. What fraction of the book did she read on Monday and Tuesday?
A carpenter wants to cut a board that is ft long into pieces that are ft long. The carpenter will use the expression shown to calculate the number of pieces that can be cut from the board. Which expression can also be used to calculate the number of pieces that can be cut from the board?
Answer:
The expression can also be used to calculate the number of pieces that can be cut from the board is [tex]\frac{5}{6} \cdot \frac{16}{5}[/tex]
Step-by-step explanation:
Length of cardboard =[tex]\frac{5}{6} feet[/tex]
Carpenter cuts board into pieces of equal length
Length of each piece =[tex]\frac{5}{16} feet[/tex]
We are supposed to find Which expression can also be used to calculate the number of pieces that can be cut from the board :
a) [tex]\frac{5}{6} \cdot \frac{16}{5}[/tex]
b)[tex]\frac{5}{6} \cdot \frac{5}{16}[/tex]
c) [tex]\frac{6}{5} \div \frac{5}{16}[/tex]
d)c) [tex]\frac{6}{5} \div \frac{16}{5}[/tex]
So, Number of pieces =[tex]\frac{5}{6} \div \frac{5}{16}[/tex]
Number of pieces =[tex]\frac{5}{6} \cdot \frac{16}{5}[/tex]
So, Option A is true
Hence The expression can also be used to calculate the number of pieces that can be cut from the board is [tex]\frac{5}{6} \cdot \frac{16}{5}[/tex]
what are the steps to 50p+5=225 in an equation
Answer:
p = 22/5
Step-by-step explanation:
50p+5=225
Subtract 5 from each side
50p+5-5=225-5
50p = 220
Divide by 50
50p/50 = 220/50
p = 22/5
Answer:
50p+5=225
(50p+5) + (-5) =225 + (-5)
50p + 5 - 5 = 225 - 5
50p = 220
(fraction: 50p/50 = fraction: 220/50)
Sorry but you need to finish it because i cant do exponits sorry...
Math class , help me please help me please
Answer:it’s C just trust me please
charlie has $12 saved already. He earns another $10 for each lawn he mows. How many lawns must he now before he has $100 saved?
b) write the equation.
please help will mark brainliest
Answer: 124
Step-by-step explanation:
Corresponding angles are congruent
Opposite angles are congruent